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Finding the Fourth Proportional to 53,842.35, 74,301.80 and 31,486.35

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Solution

The fourth proportional to 53,842.35, 74,301.80 and 31,486.35 is: 43,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842.35 : 74,301.80 = 31,486.35 : x
  2. Step 2: Convert to fraction form
    53,842.35/74,301.80 = 31,486.35/x
  3. Step 3: Cross multiply
    53,842.35x = 74,301.80 × 31,486.35
  4. Step 4: Simplify right side
    53,842.35x = 2,339,492,323.00
  5. Step 5: Solve for x
    x = 2,339,492,323.00/53,842.35
  6. Step 6: Final answer
    x = 43,450.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.